A modern view of the Riemann integral / / Alberto Torchinsky
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| Autore: |
Torchinsky Alberto
|
| Titolo: |
A modern view of the Riemann integral / / Alberto Torchinsky
|
| Pubblicazione: | Cham, Switzerland : , : Springer, , [2022] |
| ©2022 | |
| Descrizione fisica: | 1 online resource (182 pages) |
| Disciplina: | 618 |
| Soggetto topico: | Riemann integral |
| Integral de Riemann | |
| Soggetto genere / forma: | Llibres electrònics |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | Intro -- Preface -- Contents -- 1 Introduction -- 2 The -Riemann Integral -- 2.1 The Volume of a Lake -- 2.2 Rate of Approximation -- 2.3 Quadrature Rules -- 2.4 Roots of Nonlinear Equations -- Monotonicity of Riemann Sums -- 3 A Convergence Theorem -- 3.1 The Riemann-Lebesgue Lemma -- 3.2 The Weierstrass Approximation Theorems -- 4 The Modified -Riemann Sums -- 4.1 Uniformly Distributed Sequences -- 5 The Pattern and Uniform Integrals -- 6 The Improper and Dominated Integrals -- 6.1 Improper Integrals of the First Type -- 6.2 The Dominated Integral -- 6.3 Improper Integrals of the Second Type -- 7 Coda -- Appendix I -- Appendix I -- Change of Variable Formulas for Riemann Integrals -- The Substitution Formula -- The Substitution Formula -- Change of Variable Formula, Riemann Integral -- Substitution Formula, Riemann-Stieltjes Integral -- Change of Variable Formula, Riemann-Stieltjes Integral -- Caveat -- Appendix II -- Appendix II -- Cauchy Integrability Implies Riemann Integrability -- References -- Index. |
| Titolo autorizzato: | Modern View of the Riemann Integral |
| ISBN: | 9783031117992 |
| 9783031117985 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 996495170503316 |
| Lo trovi qui: | Univ. di Salerno |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Mathematics